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Finding the Fourth Proportional to 20,587, 30,880.50 and 6,736

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Solution

The fourth proportional to 20,587, 30,880.50 and 6,736 is: 10,104

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,587 : 30,880.50 = 6,736 : x
  2. Step 2: Convert to fraction form
    20,587/30,880.50 = 6,736/x
  3. Step 3: Cross multiply
    20,587x = 30,880.50 × 6,736
  4. Step 4: Simplify right side
    20,587x = 208,011,048
  5. Step 5: Solve for x
    x = 208,011,048/20,587
  6. Step 6: Final answer
    x = 10,104

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.